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Finding the Third Proportional to 34,540 and 75,230

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Solution

The third proportional to 34,540 and 75,230 is: 163,855.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,540 : 75,230 = 75,230 : x
  2. Step 2: Convert to fraction form
    34,540/75,230 = 75,230/x
  3. Step 3: Cross multiply
    34,540x = 75,230 × 75,230
  4. Step 4: Simplify right side
    34,540x = 5,659,552,900
  5. Step 5: Solve for x
    x = 5,659,552,900/34,540
  6. Step 6: Final answer
    x = 163,855.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.